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Veronika [31]
3 years ago
14

What is the value of the expression?

Mathematics
2 answers:
Blababa [14]3 years ago
8 0

Answer:

- \frac{9}{10}

Step-by-step explanation:

Step 1: Add the numerator fractions.

2/5 + 3/10

Here we have to find LCD, the LCD of 5 and 10 is 10

                                         (2*2) + 3         4 + 3

Therefore,  2/5 + 3/10 = ---------------  = ------------------

                                          10                     10

= 7/10

Step 2: Now substitute 2/5 + 3/10 = 7/10 in the given fraction, we get


 7/10

=  ----------

     -7/9

If we have fraction over fraction, we have to find the reciprocal of denominator fraction and multiply.

The reciprocal of -7/9 is -9/7

Step 3: Now multiply 13/10 and -9/7

= (7/10) x (-9/7)

= -9/10

=-9/10

The answer is  -\frac{9}{10}

Vlada [557]3 years ago
3 0

<u>Answer:</u>

-9/10 is the simplest form of the given expression.

<u>Step-by-step explanation:</u>

We are given the following complex fraction:

\frac{\frac{2}{5}+\frac{3}{10}  }{\frac{-7}{9} }

To solve it, we will first take LCM of the fractions in the numerator and change it to a single fraction to get:

\frac{\frac{2}{5} +\frac{3}{10} }{\frac{-7}{9} }

=\frac{\frac{4+3}{10} }{\frac{-7}{9} }

=\frac{\frac{7}{10} }{\frac{-7}{9} }

Taking inverse of the fraction in the denominatot:

=\frac{7}{10} × -\frac{9}{7}

= -\frac{9}{10}

Therefore, the simplest form of the given expression is -9/10.

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Find the difference: 101100012 - 11011012. Express your answer as a Base<br> 2 number.
Marizza181 [45]

Answer:

<h2>The answer is 1000100</h2>

Step-by-step explanation:

10110001 - 1101101 = 1000100

Hope this helps you

7 0
3 years ago
What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest
maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

                 Given diagram is combination of Rectangle and Semi circle.

Step:1

         Res the attachment,

                      Area of given diagram = Area of A + Area of B..............(1)

Step:2

         For A,

         The A section in the given diagram is semi circle,

                     Diameter of semi circle = Total distance - ( 2+3)

                                          ( ∵ 2, 3 are top distance in the given diagram)

                                                             = 10 - 5

                                        Diameter, d = 5 cm

                                             Radius, r = \frac{d}{2}

                                                          r = \frac{5}{2}

                                                         r = 2.5 cm

                                          Area, A_{A}  = \frac {\pi r^{2} }{2}........................(2)

                                                    A_{A}  = \frac {\pi (2.5)^{2} }{2}  

                                                           = \frac {\pi ( 6.25) }{2}

                                                           = \frac{19.63}{2}

                                                     A_{A} = 9.8174 cm^{2}

Step:3

               For B,

               Area of rectangle is,

                                                      A_{B} =lb.....................(3)

              Where, l - Length = 10 cm

                          b - Width = 2 cm

              Equation (3) become,

                                                            = (10)(2)

                                                            = 20

                                    Area of B, A_{B} = 20 cm^{2}

Step:4

               From the equation (1),

                               Area of given diagram = 20+ 9.81747

                                                            Area = 29.817 square centimeters

Result:

            The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0
3 years ago
Identify the square root of 2 as either rational or irrational, and approximate to the tenths place
Pie

Answer: Irrational

Step-by-step explanation:

It is irrational because you cannot multiply a number by the same number to get the square root of 2.

I think the approximation is 1.4 or 1.42

6 0
3 years ago
Divide x^3-3x^2-10x+24 by x-1
lesya [120]

Answer:

x^2 - 2x - 12 with remainder 12

Step-by-step explanation:

Synthetic division is the fastest way in which to carry out this division.

The divisor (x - 1) from long division corresponds to the divisor 1 in synthetic division.  Setting up synthetic division, we get:

1     /      1     -3     -10     24

                     1      -2     -12

      --------------------------------

             1      -2     -12      12

The first three digits {1, -2, -12} are the coefficients of the quotient, and 12 represents the remainder:

The quotient is 1x^2 - 2x - 12 and the remainder is 12.

6 0
3 years ago
What is the point of intersection when the system of equations below is graphed on the coordinate plane?
lora16 [44]

Answer:

<h2>not exist</h2>

Step-by-step explanation:

The coordinates of the intersection of the line are the solution of the system of equations.

\underline{+\left\{\begin{array}{ccc}x-y=1\\y-x=1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad0=2\qquad\bold{FALSE}

The system of equations has no solution. Therefore, the lines are parallel (the intersection does not exist).

5 0
3 years ago
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